Texas Gov. Rick Perry signed a bill to put tough restrictions on late term abortions earlier this week. Now, a petition making its way through Albuquerque could lead to a ban here.

There’s growing concern among some pro-life groups that the new tough abortion law in Texas will send women across the state line into New Mexico to get the procedure done here.

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“When they come across the state line and they have such a risky, dangerous procedure, they are really putting their own lives at risk,” said Tara Shaver of Project Defending Life, the organization behind the petition.

The petition would stop late term abortions, or those done after 20 weeks, from being performed here. If 12,000 signatures are gathered, it would get onto a ballot in Albuquerque if approved by the city council.

If approved, the vote would take place Oct. 8.

“Voters do not belong in these sorts of decisions,” said Alexandra Freedman Smith, an attorney with the American Civil Liberties Union. “We believe this is an extremely personal decision between a woman and her doctor.”

Currently, state law allows those abortions to happen and city laws cannot conflict with the state constitution.

Still, Shaver said her group is pushing forward.

“The city councilmen and the city has the obligation to put it on the ballot and let the voices of the people be heard,” she said.

The group has until July 25, or six days, to get the 12,000 signatures.

Project Defending Life said it’s only about 1,000 signatures short of its goal.